Information on Result #1811252
Digital (32, 49, 111096)-net over F64, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(6449, 111096, F64, 2, 17) (dual of [(111096, 2), 222143, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6449, 131073, F64, 2, 17) (dual of [(131073, 2), 262097, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6449, 262146, F64, 17) (dual of [262146, 262097, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(6449, 262147, F64, 17) (dual of [262147, 262098, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(6449, 262147, F64, 17) (dual of [262147, 262098, 18]-code), using
- OOA 2-folding [i] based on linear OA(6449, 262146, F64, 17) (dual of [262146, 262097, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.